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Finding the Third Proportional to 1,103.29 and 2,401.21

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Solution

The third proportional to 1,103.29 and 2,401.21 is: 5,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.29 : 2,401.21 = 2,401.21 : x
  2. Step 2: Convert to fraction form
    1,103.29/2,401.21 = 2,401.21/x
  3. Step 3: Cross multiply
    1,103.29x = 2,401.21 × 2,401.21
  4. Step 4: Simplify right side
    1,103.29x = 5,765,801.14
  5. Step 5: Solve for x
    x = 5,765,801.14/1,103.29
  6. Step 6: Final answer
    x = 5,225.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.